F-Alternate Interpolative Ciric-Reich-Rus Contraction Mapping Theorem
Abstract
In [1], the authors introduced the interpolative Ciric-Reich-Rus operator in Branciari metric space and obtained some fixed point theorems. In [2], an alternate characterization of the interpolative Ciric-Reich-Rus operator was given, and some fixed point theorems were obtained. In the present paper, we consider the alternate interpolative Ciric-Reich-Rus operator is an F-contraction [3], and obtain a fixed point theorem.
References
Aydi, H., Chen, C.-M., & Karapinar, E. (2019). Interpolative Ciric-Reich-Rus type contractions via the Branciari distance. Mathematics, 7(1), 84. https://doi.org/10.3390/math7010084
Ampadu, C. B. (2021). Fixed point theorems for the alternate interpolative Ciric-Reich-Rus operator. Earthline Journal of Mathematical Sciences, 7(1), 161–179. https://doi.org/10.34198/ejms.7121.161179
Wardowski, D. (2012). Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory and Applications, 2012, 94. https://doi.org/10.1186/1687-1812-2012-94
Ampadu, C. B. (2020). Some fixed point theory results for the interpolative Berinde weak operator. Earthline Journal of Mathematical Sciences, 4(2), 253–271. https://doi.org/10.34198/ejms.4220.253271
Ampadu, C. B. (2021). Wardowski type characterization of the interpolative Berinde weak fixed point theorem. Earthline Journal of Mathematical Sciences, 5(2), 411–414. https://doi.org/10.34198/ejms.5221.411414
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